Two condensers, one of capacity C and the other of capacity `C/2` , are connected to a V-volt battery, , as shown

The work done in charging fully both the condensers is

Options

A. `(1)/(2)CV^(2)`
B. `2CV^(2)`
C. `(1)/(4)CV^(2)`
D. `(3)/(4)CV^(2)`

Answer

D

Explanation

Work done in charging fully both the condensers `=(1)/(2)CV^(2)+(1)/(2)((C)/(2))V^(2)=(3)/(4)CV^(2)`